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Hopf Bifurcation Analysis and Chaos Control of a Chaotic System without ilnikov Orbits
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-29
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper mainly investigates the dynamical behaviors of a chaotic system without ilnikov orbits by the normal form theory.
Both the stability of the equilibria and the existence of local Hopf bifurcation are proved in view of analyzing the associated characteristic equation.
Meanwhile, the direction and the period of bifurcating periodic solutions are determined.
Regarding the delay as a parameter, we discuss the effect of time delay on the dynamics of chaotic system with delayed feedback control.
Finally, numerical simulations indicate that chaotic oscillation is converted into a steady state when the delay passes through a certain critical value.
American Psychological Association (APA)
Li, Na& Tan, Wei& Zhao, Huitao. 2015. Hopf Bifurcation Analysis and Chaos Control of a Chaotic System without ilnikov Orbits. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060812
Modern Language Association (MLA)
Li, Na…[et al.]. Hopf Bifurcation Analysis and Chaos Control of a Chaotic System without ilnikov Orbits. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1060812
American Medical Association (AMA)
Li, Na& Tan, Wei& Zhao, Huitao. Hopf Bifurcation Analysis and Chaos Control of a Chaotic System without ilnikov Orbits. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060812
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060812